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Finding the Fourth Proportional to 305.24, 420.90 and 212.12

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Solution

The fourth proportional to 305.24, 420.90 and 212.12 is: 292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 420.90 = 212.12 : x
  2. Step 2: Convert to fraction form
    305.24/420.90 = 212.12/x
  3. Step 3: Cross multiply
    305.24x = 420.90 × 212.12
  4. Step 4: Simplify right side
    305.24x = 89,281.31
  5. Step 5: Solve for x
    x = 89,281.31/305.24
  6. Step 6: Final answer
    x = 292.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.